Question

Suppose you first walk A-14.0 m in a direction a-18° west of north and then B-27.5 m in a direction θ2-37.0° south of west. How far are you from your starting point, and what is the compass direction of a line connecting your starting point to your final position? (If you represent the two legs of the walk as vector displacements A and B, as In the figure below, then this problem finds their sum R AB.) A+B=R O2 (a) Complete the problem above, but for the second leg you walk 27.5 m in a direction 37.0 north of east (which is equivalent to subtracting B from A-that is, to finding R -A B Enter the distance in m and the direction in degrees north of east.) distance direction Tm north of east (b) Complete the problem above, but now you first walk 27.5 m in a direction 37.0 south of west and then 14.0 m in a direction 18° east of south (whc is equivalent to subtracting A from B that is, to finding RB AR. Enter the distance in m and the direction in degrees south of west.) distance direction Im south of westSuppose you first walk A = 14.0 m in a direction θ1 = 18° west of north and then B = 27.5 m in a direction θ2 = 37.0° south of west. How far are you from your starting point, and what is the compass direction of a line connecting your starting point to your final position? (If you represent the two legs of the walk as vector displacements A and B, as in the figure below, then this problem finds their sum R = A + B.)

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